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Boundary Control for a Vibrating String System with Bounded Input
Author(s) -
Zhao Zhijia,
Liu Yu,
Luo Fei
Publication year - 2018
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1555
Subject(s) - control theory (sociology) , boundary (topology) , string (physics) , bounded function , disturbance (geology) , vibration , observer (physics) , exponential stability , vibration control , mathematics , control system , stability (learning theory) , controller (irrigation) , control (management) , computer science , engineering , mathematical analysis , physics , nonlinear system , paleontology , agronomy , quantum mechanics , artificial intelligence , machine learning , electrical engineering , mathematical physics , biology
In this study, we deal with the control problem of a vibrating string system under the condition of restricted input and external disturbance. The major objectives are the development of a boundary vibration control scheme for globally stabilizing the string system and simultaneously for compensating the effect of the input saturation, and the design of a disturbance observer for tracking the external disturbance. To this end, a boundary control is proposed based on smooth hyperbolic function to suppress the vibration and eliminate the input restriction effect, and a disturbance observer is employed to mitigate the external disturbance. The asymptotic stability of the controlled system is demonstrated employing the extended LaSalle's invariance principle. In order to verify the control performance of the proposed control, simulation results are presented by the choice of proper control design parameters.